The exceptional seta for holomorphic functions in hartogs domains
作者:
Piotr JakÖbczak,
期刊:
Complex Variables, Theory and Application: An International Journal
(Taylor Available online 1997)
卷期:
Volume 32,
issue 1
页码: 89-97
ISSN:0278-1077
年代: 1997
DOI:10.1080/17476939708814981
出版商: Gordon and Breach Science Publishers
关键词: AMS No. 32A07;32A37
数据来源: Taylor
摘要:
LetDbe a Hartogs domain in, whereGis a domain in the complex plane, and σ is a positive and continuous function inG. Givensetbe the set of allsuch thatDwis not empty andis notL2-integrabie inDw. We show that if σ is strictly subharmonic inG, then for every closed or open subsetEofGthere exists a functionf. holomorpnic inD. such thatE(D. f)=E
点击下载:
PDF (514KB)
返 回